6+3(m-1)=-6(-8m+7)

Solution for 6+3(m-1)=-6(-8m+7) equation:

Simplifying
6 + 3(m + -1) = -6(-8m + 7)

Reorder the terms:
6 + 3(-1 + m) = -6(-8m + 7)
6 + (-1 * 3 + m * 3) = -6(-8m + 7)
6 + (-3 + 3m) = -6(-8m + 7)

Combine like terms: 6 + -3 = 3
3 + 3m = -6(-8m + 7)

Reorder the terms:
3 + 3m = -6(7 + -8m)
3 + 3m = (7 * -6 + -8m * -6)
3 + 3m = (-42 + 48m)

Solving
3 + 3m = -42 + 48m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-48m' to each side of the equation.
3 + 3m + -48m = -42 + 48m + -48m

Combine like terms: 3m + -48m = -45m
3 + -45m = -42 + 48m + -48m

Combine like terms: 48m + -48m = 0
3 + -45m = -42 + 0
3 + -45m = -42

Add '-3' to each side of the equation.
3 + -3 + -45m = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -45m = -42 + -3
-45m = -42 + -3

Combine like terms: -42 + -3 = -45
-45m = -45

Divide each side by '-45'.
m = 1

Simplifying
m = 1